What is the Least Common Multiple of 96852 and 96872?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 96852 and 96872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96852 and 96872, than apply into the LCM equation.

GCF(96852,96872) = 4
LCM(96852,96872) = ( 96852 × 96872) / 4
LCM(96852,96872) = 9382246944 / 4
LCM(96852,96872) = 2345561736

Least Common Multiple (LCM) of 96852 and 96872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96852 and 96872. First we will calculate the prime factors of 96852 and 96872.

Prime Factorization of 96852

Prime Factorization of 96872

Now multiplying the highest exponent prime factors to calculate the LCM of 96852 and 96872.

LCM(96852,96872) = 2³ × 3¹ × 7¹ × 1153¹ × 12109¹
LCM(96852,96872) = 2345561736